Periodic orbits for a fifth-order generalized Hénon-Heiles Hamiltonian system

DOI10.1134/S1995080222040023zbMath1505.37070OpenAlexW4226523683WikidataQ114074832 ScholiaQ114074832MaRDI QIDQ2140895

Martha Alvarez-Ramírez, J. Lino Cornelio, Mario Medina

Publication date: 23 May 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222040023

zbMATH Keywords

periodic solutionnon-integrabilityaveraging method

Mathematics Subject Classification ID

Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

• Unnamed Item
• Averaging methods for finding periodic orbits via Brouwer degree.
• Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system
• Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system
• Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential
• Periodic orbits and non-integrability of Hénon–Heiles systems
• A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms
• Periodic orbits of a generalized Hénon–Heiles system
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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